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VOL. 10 | 2009 Remark on the Integrals of Motion Associated with Level $k$ Realization of the Elliptic Algebra $U_{q,p} (\widehat{\mathfrak{sl}}_{2})$
Takeo Kojima, Jun'ichi Shiraishi

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka


We give one parameter deformation of level $k$ free field realization of the screening current of the elliptic algebra $U_{q,p} (\widehat{\mathfrak{sl}}_{2})$. By means of these free field realizations, we construct infinitely many commutative operators, which are called the nonlocal integrals of motion associated with the elliptic algebra $U_{q,p} (\widehat{\mathfrak{sl}}_{2})$ for level $k$. They are given as integrals involving a product of the screening current and elliptic theta functions. This paper give level $k$ generalization of the nonlocal integrals of motion given in [1].


Published: 1 January 2009
First available in Project Euclid: 13 July 2015

zbMATH: 1179.81093
MathSciNet: MR2757834

Digital Object Identifier: 10.7546/giq-10-2009-183-196

Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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